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Finding the Fourth Proportional to 778,695.12, 1,167,540.48 and 305,428.32

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Solution

The fourth proportional to 778,695.12, 1,167,540.48 and 305,428.32 is: 457,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,695.12 : 1,167,540.48 = 305,428.32 : x
  2. Step 2: Convert to fraction form
    778,695.12/1,167,540.48 = 305,428.32/x
  3. Step 3: Cross multiply
    778,695.12x = 1,167,540.48 × 305,428.32
  4. Step 4: Simplify right side
    778,695.12x = 356,599,927,338.39
  5. Step 5: Solve for x
    x = 356,599,927,338.39/778,695.12
  6. Step 6: Final answer
    x = 457,945.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.